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Continental Railroad Company is evaluating three capital investment proposals by using the net present value method....

Continental Railroad Company is evaluating three capital investment proposals by using the net present value method. Relevant data related to the proposals are summarized as follows:

Maintenance
Equipment
Ramp
Facilities
Computer
Network
Amount to be invested $731,220 $435,949 $202,282
Annual net cash flows:
Year 1 300,000 207,000 123,000
Year 2 279,000 186,000 85,000
Year 3 255,000 166,000 62,000
Present Value of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826 0.797 0.756 0.694
3 0.840 0.751 0.712 0.658 0.579
4 0.792 0.683 0.636 0.572 0.482
5 0.747 0.621 0.567 0.497 0.402
6 0.705 0.564 0.507 0.432 0.335
7 0.665 0.513 0.452 0.376 0.279
8 0.627 0.467 0.404 0.327 0.233
9 0.592 0.424 0.361 0.284 0.194
10 0.558 0.386 0.322 0.247 0.162

Required:

1. Assuming that the desired rate of return is 10%, prepare a net present value analysis for each proposal. Use the present value of $1 table above. If required, use the minus sign to indicate a negative net present value. If required, round to the nearest dollar.

Maintenance Equipment Ramp Facilities Computer Network
Present value of net cash flow total $ $ $
Amount to be invested $ $ $
Net present value $ $ $

2. Determine a present value index for each proposal. If required, round your answers to two decimal places.

Present Value Index
Maintenance Equipment
Ramp Facilities
Computer Network

3. The computer network  has the largest present value index. Although ramp facilities  has the largest net present value, it returns less present value per dollar invested than does the computer network , as revealed by the present value indexes. The present value index for the maintenance equipment  is less than 1, indicating that it does not meet the minimum rate of return standard.

Solutions

Expert Solution

1
Maintenance Equipment Ramp Facilities Computer Network
Present value of net cash flow total 694659 466465 228579
Amount to be invested 731220 435949 202282
Net present value -36561 30516 26297
2
Present Value Index
Maintenance Equipment 0.95 =694659/731220
Ramp Facilities 1.07 =466465/435949
Computer Network 1.13 =228579/202282
3
The computer network has the largest present value index. Although ramp facilities has the largest net present value, it returns less present value per dollar invested than does the computer network , as revealed by the present value indexes. The present value index for the maintenance equipment is less than 1, indicating that it does not meet the minimum rate of return standard.
Workings:
Maintenance Equipment Ramp Facilities Computer Network
Year Cash flows PV factor Present value Cash flows PV factor Present value Cash flows PV factor Present value
1 300000 0.909 272700 207000 0.909 188163 123000 0.909 111807
2 279000 0.826 230454 186000 0.826 153636 85000 0.826 70210
4 255000 0.751 191505 166000 0.751 124666 62000 0.751 46562
Total 694659 Total 466465 Total 228579

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